To move heat down requires energy of some kind. It shouldn't take much, a pretty small fan can even out the air temp. You using outside air for your combustion air ? Winter there soon, what's your average temp ?
Max 10C during the day dropping to -4C not too cold by your standards, I don't know what that is in Fahrenheit. For 3 months of the year the sun doesn't produce a lot of power as the days get shorter. Running a fan means I will have to drag my arse outside at 9pm to start the genny everyday which isn't ideal especially if its windy and wet. At the moment I don't have to do that as I have enough power till about 11pm running TV's, lights and computers. We get plenty of wind here in the valley and its something im thinking about to solve this winter power issue. Its just the home turbine tech isn't up to scratch at the moment.
That range would be 23-50 degrees in Fahrenheit, late spring and early fall temperatures for me. Do you have a catalytic stove?
Since your winter temps are so mild, I'm guessing you usually want a low, slow-burning fire. With a conventional stove like yours (and mine), such fires are inefficient because the temperatures are so low that a lot of smoke escapes unburnt. Catalytic stoves can make use of that smoke at much lower combustion temperatures.
LOL Get that "home turbine tech" itching more, he'll scratch sooner LOL Lots of the solar/wind/battery systems out in the bush here. Like your location, it still takes an auxiliary generator to keep things going in the winter. Not always windy either. Few roads here so most haul fuel (& supplies) when the rivers freeze, The new small box sized, solid state, 1000 watt Hondas are popular now for computers & TV . Saves fuel when a bigger gen set isn't needed. You use propane for cooking / & have an "on demand" hot water system?
I use a 2000 watt genny and the batteries pull it out at 1200 watt load to recharge, this can be changed for any size genny though. I could hook it up to run propane as well but its no point as I use only about $70 of petrol throughout winter and isnt worth the possible complications and may be a false economy over the lifespan of the generator using propane. I use propane for cooking and have "on demand" instant hot water with no holding tank. Never run out of hot water and cheap as anything to run. I don't like wind due to moving parts and it seems the products coming out are of poor quality. As my mates like to say "if it rolls, fricks or flies its almost always better to rent".